Search a number
-
+
1001002201020 = 2232519129115829
BaseRepresentation
bin11101001000100000110…
…00010110111110111100
310112200202120020111211100
432210100120112332330
5112400023030413040
62043504251053100
7132214524214623
oct16442030267674
93480676214740
101001002201020
113565827123a8
12142001741190
1373517ac67b3
143663d5a86ba
151b08972eb30
hexe910616fbc

1001002201020 has 72 divisors (see below), whose sum is σ = 3052270690560. Its totient is φ = 265536351360.

The previous prime is 1001002201007. The next prime is 1001002201039. The reversal of 1001002201020 is 201022001001.

1001002201020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001002200993 and 1001002201011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14523535 + ... + 14592294.

It is an arithmetic number, because the mean of its divisors is an integer number (42392648480).

Almost surely, 21001002201020 is an apocalyptic number.

1001002201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001002201020 is an abundant number, since it is smaller than the sum of its proper divisors (2051268489540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001002201020 is a wasteful number, since it uses less digits than its factorization.

1001002201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29116035 (or 29116030 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1001002201020 its reverse (201022001001), we get a palindrome (1202024202021).

The spelling of 1001002201020 in words is "one trillion, one billion, two million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 191 382 573 764 955 1146 1719 1910 2292 2865 3438 3820 5730 6876 8595 11460 17190 34380 29115829 58231658 87347487 116463316 145579145 174694974 262042461 291158290 349389948 436737435 524084922 582316580 873474870 1048169844 1310212305 1746949740 2620424610 5240849220 5561123339 11122246678 16683370017 22244493356 27805616695 33366740034 50050110051 55611233390 66733480068 83416850085 100100220102 111222466780 166833700170 200200440204 250250550255 333667400340 500501100510 1001002201020